The concepts of partial actions and partial coactions of Hopf algebras on algebras were introduced by Caenepeel and
Janssen in [1]}. In which they put the Galois theory for partial
group actions on rings into a broader context, namely, the partial entwining structures. In particular, partial actions of a group
\(G\)  determine partial actions of the group algebra \(kG\)  in a natural way. Further developments in the theory of partial Hopf actions were done by Lomp in [2]}.
